the life of light bulbs is distributed normally. the standard deviation of the lifetime is 25 hours and the mean lifetime of a bulb is 600 hours. find the probability of a bulb lasting for between 632 and 640 hours. round your answer to four decimal places.
Answers
Therefore, the probability of a bulb lasting between 632 and 640 hours is 0.0455 (or 4.55%).
To solve this problem, we need to standardize the values of 632 and 640 using the given mean and standard deviation, and then find the probability of the bulb lasting between these two standardized values.
Let X be the lifetime of a light bulb. We know that X ~ N(μ = 600, σ = 25).
Let Z be the standardized normal variable, given by:
Z = (X - μ) / σ
Substituting the values, we get:
Z632 = (632 - 600) / 25 = 1.28
Z640 = (640 - 600) / 25 = 1.60
To find the probability of a bulb lasting between 632 and 640 hours, we need to find the area under the standard normal curve between Z632 and Z640. We can use a standard normal table or a calculator to find this area.
Using a standard normal table or calculator, we find that the probability of a bulb lasting between 632 and 640 hours is:
P(1.28 < Z < 1.60) = P(Z < 1.60) - P(Z < 1.28)
From the standard normal table, we find that P(Z < 1.60) = 0.9452 and P(Z < 1.28) = 0.8997. Therefore,
P(1.28 < Z < 1.60) = 0.9452 - 0.8997 = 0.0455 (rounded to four decimal places)
To know more about probability,
https://brainly.com/question/30034780
#SPJ11
Related Questions
in a bean bag toss game players earn 2 points for each beanbag that lands on the game board and 5 points for each bean bag that lands in the hole. roopesh wants to know his total score after throwing 4 bean bags.
which expressions show the points roopesh earns if two beanbags land on the board? choose all that apply
2+5
2•2
2•5
2+2
Answers
Answer:2•2 and 2+2
Step-by-step explanation:
Because if you have 2 bean bags and 2 point for each bean bad it u have to multiply of add
The expression will be either (2+2) or (2*2).
What are expression?An algebraic expression consists of unknown variables, numbers and arithmetic operators.
Given that, in a bean bag toss game, players earn 2 points for each beanbag that lands on the game board and 5 points for each bean bag that lands in the hole.
Roopesh's dropped the bag on land for two times, and points for bag landing is 2, therefore, his score will be 2*2 or 2+2
Hence, The expression will be either (2+2) or (2*2).
For more references on expression, click;
https://brainly.com/question/14083225
#SPJ2
Which of the following expressions has a ''x'' term with a coefficient of 1?
x² + 5x + 1
3x² - x - 4
5x² + x - 9
4x²- 7x + 1
Answers
it had to be 20 characters lol
1) Find the Z-score for the data point X given mean μ and
standard deviation o. Round to two decimal places as needed
x=72
μ=63
0=3
Answers
The z score when x=72 , μ=63 , 0=3 is z=3
Why is z-score important?Because they allow for a comparison between two scores that do not belong to the same normal distribution, z-scores are significant. They are also employed to determine the likelihood that a z-score will occur inside a normal distribution. A negative z-score indicates that the raw data is smaller than the mean.
What is the z-score formula used for?Because they allow for a comparison between two scores that do not belong to the same normal distribution, z-scores are significant. They are also employed to determine the likelihood that a z-score will occur inside a normal distribution. A negative z-score indicates that the raw data is smaller than the mean.
According to the equation
z=x-u/sigma
we get z=3
To learn more about z score, click the following link:-
https://brainly.com/question/29170116
#SPJ1
DOUBLE POINTS!!! Please help!
Answers
answer
x=-10
x=0
Step-by-step explanation:
x(x+10) =0
apply zero product property
sorry if this is a straight forward answer
Answer:
The first solution is -10 and the second solution is 0
Step-by-step explanation:
The question is x * (x+10) = 0
When the product of factors equals 0, at least one factor is 0:
x = 0
x+10 = 0 which can be simplified to x = -10 by subtracting 10 from both sides. Thus, the two solutions to x * (x+10) = 0 is -10 and 0.
write any three rational numbers between -2 and 0.
please answer fast!!!!!!!
Answers
3 rational numbers between -2 and 0 are -1.5, -1, and -0.5.
Rational numbers can be either positive or negative, and can even be decimals. Therefore, -1.5, -1 and -0.5 are all rational numbers.
(make sure you change up my words a bit if you're submitting this online, there are bots that scan your words to see if you're getting your answers online!)
A deposit of $100 is made on the first day of January and July
of every year in an account that pays 5% interest, compounded
biannually. What is the balance at the end of 5 years?
Balance at the end of 5 years= $__(round to the nearest
whole cent)
Enter the answer
Oops. You forgot to enter one or more answers.
Answers
The balance at the end of 5 years, considering a deposit of $100 on the first day of January and July of every year, in an account that pays 5% interest, compounded biannually, would be $2,852.66, rounded to the nearest whole cent.
To calculate the balance at the end of 5 years, we need to determine the number of compounding periods, the interest rate per compounding period, and the future value of the recurring deposits. In this case, since the interest is compounded biannually, there are ten compounding periods, and the interest rate per compounding period is 2.5% (half of the annual interest rate of 5%).
Using the formula for future value of recurring deposits, FV = PMT[((1+r)^n - 1)/r], where PMT is the recurring deposit, r is the interest rate per compounding period, and n is the number of compounding periods, we can calculate the future value of the recurring deposits to be $2,605.92.
To calculate the interest earned on the recurring deposits, we use the formula for compound interest, CI = P(1+r/n)^(nt) - P, where P is the principal amount, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the time in years. The interest earned would be $246.74.
Adding the future value of the recurring deposits and the interest earned, we arrive at the final balance of $2,852.66.
To learn more about deposit click here: brainly.com/question/22697743
#SPJ11
How many significant figures does 076.0128 have?
Answers
Answer:
076.028 has six significant figure because the 0 before the is not significant figure
enchmark 1 - Item 204918 3 Which is the sum of and 10 2 4 30 3
Answers
Problem
Solution
We want to find the sum of 3/10 and 1/3 so we can do the following operation:
(3*3 + 1*10)/ (10*3)
And if we solve we got:
(9 +10)/ 30 = 19/30
And our final solution would be 19/30
Cuantas veces tengo que multiplicar 10 para que de 1000000
Answers
Answer:
Puede ser Asi:
\( {10}^{6} = 1000000\)
Tambien puede ser:
\(1000000 \div 10 = 100000\)
The function shown is reflected across the y-axis to create a new function. Which is true about the domain and range of each function? Both the domain and range change. Both the range and domain stay the same. The domain stays the same, but the range changes. The range stays the same, but the domain changes.
Answers
Answer:
its b friends :)
Step-by-step explanation:
If the function shown is reflected across the y-axis create a new function. Both the range and domain stay the same.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that, the function shown is reflected across the y-axis to create a new function. We have to state the domain and range of each function.
The domain and/or range of a function will change when it is transformed. Only the domain will change if the inputs are only transformed. Only the range will change if the transformation only affects the outputs. The domain and range will change if the inputs and outputs are transformed simultaneously.
Thus, if the function shown is reflected across the y-axis creates a new function. Both the range and domain stay the same.
Learn more about the function here:
brainly.com/question/5245372
#SPJ6
3 squared by 6 squared?
Answers
Answer: 1/4
Step-by-step explanation:
3^2 / 6^2 =
(3/6)^2=
(1/2) ^ 2=
1^2 / 2^2 = 1/4
How many times will the following loop execute?
int x = 0;
do {
x++;
cout << x << endl;
}while(x < 5)
Answers:
a. - 5 times
b. - 4 times
c. - It doesn't
d. - Infinite times
e. - 6 times
Answers
Answer:
Step-by-step explanation:
The loop will run an infinite number of times
Help translations and reflections
Answers
Thus, Coordinates of image of points A', B' and C' are- A'(-6, 10), B'(-2, -8), C'(4 , -7)
Explain about the reflection along the y-axis:A figure is transformed into a reflection by a transformational process. In a point, a line, or a plane, figures can be reflected. The image and preimage coincide when reflecting any symbol in a line or a point.
The x-coordinate remains constant when a point is reflected across the x-axis, but the y-coordinate is assumed to be the additive inverse. Point (x, y) is reflected across the x-axis as (x, -y).The y-coordinate stays the same when a point is reflected across the y-axis, but the x-coordinate is assumed to be the additive inverse. Point (x, y) is reflected across the y-axis as (-x, y).Given coordinates of points A, B and C
A(6, 10), B(2, -8), C(-4 , -7)
After reflection (x, y) ---> (-x, y).
Thus, Coordinates of image of points A', B' and C' are-
A'(-6, 10), B'(-2, -8), C'(4 , -7)
Know more about the reflection along the y-axis:
https://brainly.com/question/15175017
#SPJ1
Find the weighted average of a data set where 20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.
Answers
The weighted average of a data set is 36.
Here,
Given data set;
20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.
We have to find the weighted average of a data set.
What is Weighted Average?
Weighted average is a calculation that takes into account the varying degrees of importance of the numbers in a data set.
Now,
Given data set;
20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.
The weighted average is given by the formula;
\(x = \frac{f_{1} x_{1} + f_{2} x_{2}+ f_{3} x_{3}+ ...... f_{n} x_{n}}{f_{1} +f_{2} + f_{2}}\)
Hence,
The weighted average of a data set;
x = 20 x 3 + 40 x 5 + 50 x 2 / 3+5+2
x = 360/10 = 36
Hence, The weighted average of a data set is 36.
Learn more about the weighted average visit:
https://brainly.com/question/18554478
#SPJ4
Increasing the sample size by a factor of 4 causes what kind of change to the distribution of sample means?
a. Decreases the standard error of the sample mean by a factor of 2
b. Decreases the standard error of the sample mean by a factor of 4
c. Decreases the mean of the sample mean by a factor of 4
d. Decreases the mean of the sample mean by a factor of 2
Answers
Increasing the sample size by a factor of 4 b) decreases the standard error of the sample mean by a factor of 2
The standard error of the sample mean is calculated as the standard deviation of the population divided by the square root of the sample size. When the sample size is increased by a factor of 4, the denominator of the equation (i.e., the square root of the sample size) becomes twice as large.
This causes the standard error to decrease by a factor of 2 (i.e., the standard error is halved). Therefore, option b is the correct answer. The mean of the sample mean is not affected by the sample size and remains the same.
Option c and d are incorrect. Option a is also incorrect as increasing the sample size actually decreases the standard error, not increases it.
For more questions like Sample mean click the link below:
https://brainly.com/question/31101410
#SPJ11
A recipe calls for 1/2 cup of milk for every 3/4 cup of flour
if kenny wants to double the recipe how any cups of flour will he jeed?
Answers
Answer:B. 1 1/2
Step-by-step explanation:
The amount of flour needed is 3/2 cups
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
For 3/4 cup flour = 1/2 cup of milk needed.
So, if the recipe is doubled then flour needed
= 3/4 x 2
= 3/2 cups
Learn more about Unitary Method here:
https://brainly.com/question/22056199
#SPJ6
Consider the following time series y(t): 10, 20, 30, 40, 50 for time periods 1 through 5. Using a moving average of order p = 3, a forecast for time period 6 is
Answers
Using a moving average of order p = 3, a forecast for time period 6 is 46.
The moving average is a mathematical method for calculating a series of averages using various subsets of the full dataset. It is also known as a rolling average or a running average. The moving average smoothes the underlying data and lowers the noise level, allowing us to visualize the underlying patterns and patterns more readily. In other words, a moving average is a mathematical calculation that employs the average of a subset of data at various time intervals to determine trends, eliminate noise, and better forecast future outcomes. Answer: 46.
More on moving average: https://brainly.com/question/32464991
#SPJ11
Drag each tile to the correct box. The water level of a tank every minute since it began filling is indicated by segments A, B, and C on the graph below. A graph represents the water level to fill the tank on Y-axis per time on X-axis. Segments A, B, and C fill the tank from 10 to 60, 60 to 80, and 80 to 110 centimeters in the first 2, next 4, and last 3 minutes. Place the segments in the correct order from the least to the greatest rate of increase in the water level. B A C , ,
Answers
The least to greatest slope, the segments are B, C and A.
Given that,
Segments A, B, and C on the graph below represent the water level of the tank every minute since it started filling.
A graph shows the water level needed to fill the tank on the y axis per unit of time on the x axis.
The segment's slope indicates how quickly the water level is rising. The slope, which is determined by the segment's angle with the positive x axis, is the ratio of rise to run.
slope of segment A = 60₋10/2 = 25
slope of segment B = 80₋60/4 = 5
slope of segment C = 110₋80/3 = 10
We can see that section B has the least slope, followed by segment C, and then segment A, which has the greatest slope.
B, C, and A are the segments in descending order of least to greatest slope.
Learn more about "Slope problems" here-
brainly.com/question/3493733
#SPJ10
how does the overtone number relate to the standing wave pattern number, previously denoted with the variable nnn ?
Answers
The correlation between the overtone number and the pattern number is not exact. This tone has a 400 Hz fundamental and some of its overtones.
What is the overtone number?Any frequency higher than the fundamental frequency, which is the lowest frequency of a periodic waveform, is referred to as an overtone. An overtone is equal to the standing wave pattern minus one.Standing wave patterns are vibrational wave patterns that develop inside a medium when a source's vibrational frequency generates reflected waves from one end of the medium that interfere with the source's incident waves. When discussing sound waves produced by musical instruments like the GUITAR, etc., both words are utilized.Overtone numbers and pattern numbers are not strictly correlated. With a 400 Hz fundamental and some of its overtones, this tone is complex.Therefore, the correlation between the overtone number and the pattern number is not exact. This tone has a 400 Hz fundamental and some of its overtones.
Know more about the overtone number here:
https://brainly.com/question/14471389
#SPJ4
☡☡☡HEEEELLLPPPP☡☡☡
please i dont understand
No links
Answers
Answer:
3.5 (thousand) boxes
Step-by-step explanation:
The line of best fit is the line that best fits the data / points. This line is already graphed for us, nice!
To find how much we should purchase if we only want to buy $5.05, we look to the y-axis (cost of each box of paper) and locate 5.05, in between the 5 and the 5.1. We look across to the x-axis (number of boxes) and see the answer is 3.5.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
three boxes with 10 marbles each -- can be black or white -- 1 box has 10 black marbles, 1 box has 10 white marbles, and 1 box has mixed marbles -- could be 1:9 or 5:5, 4:6, etc. all the boxes are labeled incorrectly. how many marbles do you have to pull to correctly determine the proper labeling for the boxes?
Answers
We have to pull 9 marbles from the box to label the box correctly.
Given, three boxes with 10 marbles each can be black or white.
1 box has 10 black marbles, 1 box has 10 white marbles, and 1 box has mixed marbles, could be 1:9 or 5:5, 4:6, etc.
also all the boxes are labeled incorrectly.
we have to find the number of marbles we have to pull to correctly determine the proper labelling for the boxes.
as the box contain 10 marbles, and box contains mixed marbles
so, we have to pull 9 marbles to correctly label the box.
as, we have to check the 9 marbles.
Hence, we have to pull 9 marbles from the box to label the box correctly.
Learn more about Number System here https://brainly.com/question/540415
#SPJ4
Name: Date: Period: Score: First attempt due: Practice Worksheet: Properties of Exponents Final corrections due: Simplify each expression completely using properties of exponents. Answers should have positive exponents only and all numbers evaluated, for example 5 3 = 125. Each set of problems will use the property listed above as well as a combination of properties attempted in previous sets. NEGATIVE EXPONENT AND ZERO EXPONENT PROPERTIES 1. ???? −7 = 2. (21c 18) −1 = 3. (3???? 2 ) 0 = 4. 5(x 0 )y −1 = PRODUCT OF POWERS PROPERTY 5. ???? 7???? 12 = 6. c 3 c 8 c −5 = 7. (2???? 7 )(−4???? 9???? 5 ) = 8. (9x 10y 3 )(−x 5y 3 ) = QUOTIENT OF POWERS PROPERTY 9. ???? 12 ????7 = 10. 6c 3 3c−5 = 11. 2???? 7 −4????9????5 = 12. 9x 10y 3 −x 5y3 = POWER OF A POWER PROPERTY 13. (???? 3 ) 4 = 14. (c −1 ) 3 = 15. (???? 5 ) −2 = 16. (6x 3y)(x 2 ) −2 = POWER OF A PRODUCT PROPERTY 17. (8???? 5 ) 2 = 18. (2c −1 ) −3 = 19. (−2???? 10) −2 = 20. (4x 2y 3 ) −2 (−x 10) 2 = POWER OF A QUOTIENT PROPERTY 21. ( ???? 2 ) 4 = 22. ( 25c −1 5 ) 2 = 23. ( −2???? 11???? 5 4????−2???? 2 ) 2 = 24. ( (−2x) 2 3xy2 ) 3 = MORE PRACTICE WITH MIXED PROPERTIES 25. ( ???? 2 ) 4 (8???? 5 ) 2 ????−1????10 = 26. ( 16c 6c −2 (2c 2) 3 ) −1 = 27. −2???? ????5 ( ???????? 5 −2???? 10) 2 = 28. ( (4x 2y 3) 0 −3x−1y2 ) 3 = BONUS QUESTIONS 29. ( 9 20 ???? 5 ) (2???? −2 ) ( 4 3 ???? 9 ) 30. 8(–m0???? 2) 3 (−???? 3) 2 m6????0(−2m−2????4) 3
Answers
The four basic properties of exponents are the negative exponent property, the product of powers property, the quotient of powers property, and the power of a power property.
The properties of exponents are a set of rules that allow us to simplify terms that contain exponents.
Negative exponent property states that when a negative exponent is present, the base and the exponent are switched and the sign of the exponent is changed. For example, x-2 = 1/x2.
The product of powers property states that when two terms with the same base are multiplied, the exponents are added together. For example, x3 x4 = x7.
The quotient of powers property states that when two terms with the same base are divided, the exponents are subtracted. For example, x6/x2 = x4.
The power of a power property states that when a term with an exponent is raised to another power, the exponents are multiplied. For example, (x3)2 = x6.
These properties can be used to simplify expressions that contain exponents. For example, the expression (−2m−2????4) 3 can be simplified using the power of a power property by multiplying the exponents. The expression simplifies to −2m−6????12.
Learn more about negative exponent here:
https://brainly.com/question/29009712
#SPJ4
g etween two variables may be explained away by the presence of another variable that accounts for the original correlation. These relationships are known as
Answers
A spurious correlation is a correlation between two variables that appears to be causally linked but is actually due to the influence of a third variable that is not considered. The correct answer is spurious correlation.
Spurious correlations are correlations that exist between two variables, but they are not actually causally related to one another, despite the fact that they appear to be causally related at first glance. The relationship between two variables may be accounted for by a third variable that was previously overlooked or not considered, causing the original correlation to be explained away. Spurious correlations are commonly found in science and research, and they can lead to misleading results if not properly identified and accounted for. It is critical to account for all potential confounding variables in order to establish causal links between variables and avoid spurious correlations. Therefore, researchers must carefully consider all variables that might influence the relationship between two variables to avoid drawing inaccurate conclusions.
know more about spurious correlation
https://brainly.com/question/29361770
#SPJ11
do all square numbers have an odd number of factors
Answers
No, not all square numbers have an odd number of factors. In fact, square numbers can have either an odd or an even number of factors, depending on their prime factorization.
A square number is a number that can be expressed as the product of an integer multiplied by itself. For example, 4 is a square number because it can be written as 2 * 2.
When we analyze the factors of a square number, we find that each factor has a corresponding pair that multiplies to give the square number. For instance, the factors of 4 are 1, 2, and 4. We can see that the pairs are (1, 4) and (2, 2). Thus, 4 has an even number of factors.
However, there are square numbers that have an odd number of factors. Consider the square number 9, which is equal to 3 * 3. The factors of 9 are 1, 3, and 9. In this case, 9 has an odd number of factors.
In conclusion, while some square numbers have an odd number of factors (like 9), others have an even number of factors (like 4). The determining factor is the prime factorization of the square number.
To know more about factors, refer here:
https://brainly.com/question/5468231#
#SPJ11
I would love some help!! 13 points and brainlest to whoever gives a correct answer!
Answers
Answer:
610
Step-by-step explanation:
PLEASE HELP ME <3!!!
Answers
Answer:
Wasim has enough money.
Step-by-step explanation:
1. find the area of the garden path:
600 cm x 120 cm = 72,000 sq. cm
2. find the area of each stone:
it is a square of 30 cm by 30 cm, so:
30 cm x 30 cm = 900 sq. cm
3. find how many stones can fit in the path:
72,000 / 900 = 80 stones
4. multiply that by the price of each stone:
80 stones x $2.50 = $200
Wasim's budget is $220 and the stones will only cost $200, so it is within the budget
If You Had Three Wishes, What Would You Wish For?
Answers
Answer:
I would wish to be the brainliest, I would wish for more points, and i would wish for more people to answer my questions
Step-by-step explanation:
thats only for brainly though
Answer:
My three wishes would be:
1: Get all staright A's
2: the sickness that starts with C thats going around goes away forever
3: Have some cheesecake.
Step-by-step explanation:
In a recent National Survey of Drug Use and Health, 2312 of 5914 randomly selected full-time US college students were classified as binge drinkers.
If we were to calculate a 99% confidence interval for the true population proportion p that are all binge drinkers, what would be the lower limit of the confidence interval? Round your answer to the nearest 100th, such as 0.57 or 0.12. (hint: use Stat Crunch to calculate the confidence interval).
Answers
The lower limit of the 99% confidence interval for the true population proportion of binge drinkers cannot be determined without additional information.
To calculate the lower limit of the 99% confidence interval for the true population proportion of binge drinkers, we need to know the sample proportion and the sample size. While the information provided states that 2312 out of 5914 randomly selected full-time US college students were classified as binge drinkers, we don't have the specific sample proportion.
Additionally, the margin of error is required to calculate the confidence interval. Without these values or the methodology used to calculate the interval, we cannot determine the lower limit. It is important to note that the confidence interval is influenced by the sample size, sample proportion, and the desired level of confidence. Without more information, we cannot compute the lower limit of the confidence interval.
Learn more about Population here: brainly.com/question/15889243
#SPJ11
What is the sign of
−
9
⋅
(
0
−
3
)
−9⋅(
−3
0
)minus, 9, dot, left parenthesis, start fraction, 0, divided by, minus, 3, end fraction, right parenthesis?
Answers
The expression is undefined, so the sign cannot be determined.
How to determine sign for the given problem?
The following given expression can be more simplified as follows:
-9 * (0 - 3) - (9 * (-3/0))
= -9 * (-3) - 9 * undefined [Note: Division by zero is undefined]
= 27 - undefined
As anything subtracted from undefined remains undefined, the overall result is undefined.
Therefore, the sign of the expression cannot be determined.
Undefined values represent the absence of a meaningful result or outcome. In this case, the expression involves division by zero, which is undefined. As a result, any operation involving an undefined value will also be undefined, including subtraction. Thus, the overall result is undefined.
To learn more about expression, visit: https://brainly.com/question/29176690
#SPJ1
Answer:
ITS ZEROOOO
Step-by-step explanation:
i guesses and ended up getting it right.
the product of 2 numbers is 1476. if the smaller number is 5 less than the bigger number. What's the bigger number?
Answers
Answer: 41
Step-by-step explanation:
36 x 41 = 1476